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Navier-Stokes Equations : Chicago Lectures in Mathematics - Peter Constantin

Navier-Stokes Equations

Chicago Lectures in Mathematics

Paperback Published: 1st January 1988
ISBN: 9780226115498
Number Of Pages: 200

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Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, "Navier-Stokes Equations" provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.

Introduction
Notation and Preliminary Material
The Stokes equations. Existence and Uniqueness of Weak Solutions
Regularity of Solutions of the Stokes Equations
The Stokes Operator
The Navier-Stokes Equations
Inequalities for the Nonlinear Term
Stationary solutions to the Navier-Stokes Equations
Weak Solutions of the Navier-Stokes Equation
Strong Solutions
Further Results Concerning Weak and Strong Solutions
Vanishing Viscosity Limits
Analyticity and Backward Uniqueness
Exponential Decay of Volume Elements
Global Lyapunov Exponents. Hausdorff and Fractal Dimension of the Universal Attractor
Inertial Manifolds
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780226115498
ISBN-10: 0226115496
Series: Chicago Lectures in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 200
Published: 1st January 1988
Publisher: The University of Chicago Press
Country of Publication: US
Dimensions (cm): 20.2 x 13.2  x 1.27
Weight (kg): 0.18
Edition Number: 2

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